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krek1111 [17]
3 years ago
9

Which polynomial is in standard form? A) 26x^5+12x^7-8x^3+6x

Mathematics
2 answers:
Bess [88]3 years ago
7 0
It's C.  In order to be in standard form you have to have all your exponents in descending order.  They don't all have to be there in order, the ones that are just have to go from highest to lowest.
marshall27 [118]3 years ago
5 0

Answer:

Option C - 11x^5-6x^2-9x+12

Step-by-step explanation:

To find : Which polynomial is in standard form?

Solution :

The standard form of a polynomial is defined as each term in order of degree is written from highest to lowest.

The degree is the power of a variable.

Now, we check the order of each polynomial.

A) 26x^5+12x^7-8x^3+6x

The degree of the polynomial is 5,7,3,1 not from highest to lowest.

So, No the polynomial is not in standard form.

B) 3x^5+x-6x^2+5

The degree of the polynomial is 5,1,2 not from highest to lowest.

So, No the polynomial is not in standard form.

C) 11x^5-6x^2-9x+12

The degree of the polynomial is 5,2,1 is from highest to lowest.

So, Yes the polynomial is in standard form.

D) 5x^2+18x^2-12x^4+4x^7

The degree of the polynomial is 2,2,4,7 not from highest to lowest.

So, No the polynomial is not in standard form.

Therefore, Option C is correct.

The standard form of the polynomial is 11x^5-6x^2-9x+12

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stepan [7]

Answer:24v+24w-16

Step-by-step explanation:

8(3v+3w-2)

8 times 3 =24

So 24v+24w

Then 8 times 2=16

So the answer would be 24v+24w-16

5 0
3 years ago
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Help mehhhh plz ASAP
DanielleElmas [232]

Answer:75

Step-by-step explanation:2 1/2 is equal to 5 halves. If each half is equal to 15 then all you do is multiply 15 by 5

8 0
3 years ago
A professor grades students on four tests, a term paper, and a final examination. Each test counts as 15% of the course grade. T
alina1380 [7]

Answer:

The Alans's average for the course is 84.5

Step-by-step explanation:

We are given

There are 4 tests, A Term paper and a Final examination.

Score = 92, 78, 82, 90.

Term paper score = 80

Final examination score = 86

Weighted mean = ∑ w.f/∑w

     also the sum of all the weights is 100% = 1

weighted mean = 15%*92 + 15%*78+15%*82+15%*90+20%*80+20%*86/1

                         = 51.3 + 33.2

                         =  84.5

Therefore the Alans's average for the course is 84.5

5 0
2 years ago
Nina purchased apples and strawberries. She purchased a total of 9 pounds of fruit and spent a total of $16.35. Strawberries cos
irina [24]

Answer:

4 pounds of strawberries and 5 pounds of apples are bought.

Step-by-step explanation:

Given:

Total number of pounds of fruit = 9 pounds

Total money spent = $16.35

Cost of 1 pound of strawberry = $1.60

Cost of 1 pound of apple = $1.99

Let 'x' pounds of strawberries and 'y' pounds of apples are bought.

So, <u><em>as per question:</em></u>

<em>The sum of the pounds is 9. So,</em>

x+y=9\\\\y=9-x----1

Now, total sum of the fruits is equal to the sum of 'x' pounds of strawberries and 'y' pounds of apples. So,

1.60x+1.99y=16.35----2

Now, plug in the 'y' value from equation (1) in to equation (2). This gives,

1.60x+1.99(9-x)=16.35\\\\1.60x+17.91-1.99x=16.35\\\\Combining\ like\ terms, we get:\\\\1.60x-1.99x=16.35-17.91\\\\-0.39x=-1.56\\\\x=\frac{-1.56}{-0.39}=4\ pounds

Now, from equation 1, we have:

y=9-4=5\ pounds

Therefore, 4 pounds of strawberries and 5 pounds of apples are bought.

4 0
2 years ago
How do you do this? Confused, please reply ASAP.
aleksley [76]

Answer:

11. 2/5 = <u>40</u>/100 = <u>40</u>%      12. 29/50 = <u>58</u>/100 = <u>58</u>%

Step-by-step explanation:

To convert the given fraction to a fraction of 100, cross-multiply and divide.

2 × 100 = 200 / 5 = 40

Then, whenever you have a number over 100, all you need to do to get the percentage is find the numerator and add a percent sign at the end of the number.

40 ⇒ 40%

Repeat this with the second question.

29 × 100 = 2900 / 50 = 58 ⇒ 58%

5 0
3 years ago
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